Transient nearest neighbor random walk on the line

E. Csáki, Antónia Földes, Pál Révész

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We prove strong theorems for the local time at infinity of a nearest neighbor transient random walk. First, laws of the iterated logarithm are given for the large values of the local time. Then we investigate the length of intervals over which the walk runs through (always from left to right) without ever returning.

Original languageEnglish
Pages (from-to)100-122
Number of pages23
JournalJournal of Theoretical Probability
Volume22
Issue number1
DOIs
Publication statusPublished - Mar 2009

Fingerprint

Local Time
Nearest Neighbor
Random walk
Law of the Iterated Logarithm
Line
Strong Theorems
Walk
Infinity
Interval
Local time
Nearest neighbor

Keywords

  • Local time
  • Strong theorems
  • Transient random walk

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

Transient nearest neighbor random walk on the line. / Csáki, E.; Földes, Antónia; Révész, Pál.

In: Journal of Theoretical Probability, Vol. 22, No. 1, 03.2009, p. 100-122.

Research output: Contribution to journalArticle

Csáki, E. ; Földes, Antónia ; Révész, Pál. / Transient nearest neighbor random walk on the line. In: Journal of Theoretical Probability. 2009 ; Vol. 22, No. 1. pp. 100-122.
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